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534804312 = 233729313541
BaseRepresentation
bin11111111000000…
…111011101011000
31101021022212121010
4133320013131120
52043402214222
6125022413520
716152522150
oct3770073530
91337285533
10534804312
11254979439
1212b1312a0
1386a4ca73
1451055760
1531e4080c
hex1fe07758

534804312 has 128 divisors (see below), whose sum is σ = 1632153600. Its totient is φ = 142732800.

The previous prime is 534804269. The next prime is 534804317. The reversal of 534804312 is 213408435.

It is a self number, because there is not a number n which added to its sum of digits gives 534804312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534804317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149262 + ... + 152802.

It is an arithmetic number, because the mean of its divisors is an integer number (12751200).

Almost surely, 2534804312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534804312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816076800).

534804312 is an abundant number, since it is smaller than the sum of its proper divisors (1097349288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

534804312 is a wasteful number, since it uses less digits than its factorization.

534804312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 534804312 is about 23125.8364605478. The cubic root of 534804312 is about 811.7051474620.

The spelling of 534804312 in words is "five hundred thirty-four million, eight hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 31 42 56 58 62 84 87 93 116 124 168 174 186 203 217 232 248 348 372 406 434 609 651 696 744 812 868 899 1218 1302 1624 1736 1798 2436 2604 2697 3541 3596 4872 5208 5394 6293 7082 7192 10623 10788 12586 14164 18879 21246 21576 24787 25172 28328 37758 42492 49574 50344 74361 75516 84984 99148 102689 109771 148722 151032 198296 205378 219542 297444 308067 329313 410756 439084 594888 616134 658626 718823 768397 821512 878168 1232268 1317252 1437646 1536794 2156469 2305191 2464536 2634504 2875292 3073588 3183359 4312938 4610382 5750584 6147176 6366718 8625876 9220764 9550077 12733436 17251752 18441528 19100154 22283513 25466872 38200308 44567026 66850539 76400616 89134052 133701078 178268104 267402156 534804312